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Finding the Fourth Proportional to 144.55, 198.29 and 132.40

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Solution

The fourth proportional to 144.55, 198.29 and 132.40 is: 181.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.55 : 198.29 = 132.40 : x
  2. Step 2: Convert to fraction form
    144.55/198.29 = 132.40/x
  3. Step 3: Cross multiply
    144.55x = 198.29 × 132.40
  4. Step 4: Simplify right side
    144.55x = 26,253.60
  5. Step 5: Solve for x
    x = 26,253.60/144.55
  6. Step 6: Final answer
    x = 181.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.